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228568128 = 26317239293
BaseRepresentation
bin11011001111110…
…10110001000000
3120221002110112020
431213322301000
5432003140003
634403001440
75443540245
oct1547726100
9527073466
10228568128
11108025688
1264669280
133847a619
14224db5cc
15150edd53
hexd9fac40

228568128 has 112 divisors (see below), whose sum is σ = 645200640. Its totient is φ = 71163904.

The previous prime is 228568117. The next prime is 228568133. The reversal of 228568128 is 821865822.

228568128 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 228568128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779950 + ... + 780242.

It is an arithmetic number, because the mean of its divisors is an integer number (5760720).

Almost surely, 2228568128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228568128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322600320).

228568128 is an abundant number, since it is smaller than the sum of its proper divisors (416632512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228568128 is a wasteful number, since it uses less digits than its factorization.

228568128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 228568128 is about 15118.4697638352. The cubic root of 228568128 is about 611.4184744765.

The spelling of 228568128 in words is "two hundred twenty-eight million, five hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 239 272 293 408 478 544 586 717 816 879 956 1088 1172 1434 1632 1758 1912 2344 2868 3264 3516 3824 4063 4688 4981 5736 7032 7648 8126 9376 9962 11472 12189 14064 14943 15296 16252 18752 19924 22944 24378 28128 29886 32504 39848 45888 48756 56256 59772 65008 70027 79696 97512 119544 130016 140054 159392 195024 210081 239088 260032 280108 318784 390048 420162 478176 560216 780096 840324 956352 1120432 1190459 1680648 2240864 2380918 3361296 3571377 4481728 4761836 6722592 7142754 9523672 13445184 14285508 19047344 28571016 38094688 57142032 76189376 114284064 228568128